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Finding the Fourth Proportional to 1,086.72, 1,631.07 and 599.10

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Solution

The fourth proportional to 1,086.72, 1,631.07 and 599.10 is: 899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.72 : 1,631.07 = 599.10 : x
  2. Step 2: Convert to fraction form
    1,086.72/1,631.07 = 599.10/x
  3. Step 3: Cross multiply
    1,086.72x = 1,631.07 × 599.10
  4. Step 4: Simplify right side
    1,086.72x = 977,174.04
  5. Step 5: Solve for x
    x = 977,174.04/1,086.72
  6. Step 6: Final answer
    x = 899.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.